3 n = 2 Mid-Point Riemann Sum with 2 equal Subintervals Xi + Xi-1 = 3.25937 2 f(x) = V4 – x2,0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3
n = 2
Mid-Point Riemann Sum with 2 equal Subintervals
n
Xi + Xi-1
= 3.25937
2
i=1
f(x) = V4 – x2, 0 <x< 2
2
return this question to its initial state
Consider the applet above.
The graph in red is the graph of y
f(x) where
f(x) = v4 – x² on the interval [0, 2].
The applet uses mid-point Riemann sums to approximate
f(x)dx = T
Use the slider at the top to change the number of sub-intervals
used to compute the Rimnann sum.
Find the the smallest number of subintervals required to compute T
accurately when rounding to two decimal places.
Transcribed Image Text:3 n = 2 Mid-Point Riemann Sum with 2 equal Subintervals n Xi + Xi-1 = 3.25937 2 i=1 f(x) = V4 – x2, 0 <x< 2 2 return this question to its initial state Consider the applet above. The graph in red is the graph of y f(x) where f(x) = v4 – x² on the interval [0, 2]. The applet uses mid-point Riemann sums to approximate f(x)dx = T Use the slider at the top to change the number of sub-intervals used to compute the Rimnann sum. Find the the smallest number of subintervals required to compute T accurately when rounding to two decimal places.
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